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Finding the Fourth Proportional to 55,242.38, 76,234.49 and 30,091.88

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Solution

The fourth proportional to 55,242.38, 76,234.49 and 30,091.88 is: 41,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.38 : 76,234.49 = 30,091.88 : x
  2. Step 2: Convert to fraction form
    55,242.38/76,234.49 = 30,091.88/x
  3. Step 3: Cross multiply
    55,242.38x = 76,234.49 × 30,091.88
  4. Step 4: Simplify right side
    55,242.38x = 2,294,038,593.31
  5. Step 5: Solve for x
    x = 2,294,038,593.31/55,242.38
  6. Step 6: Final answer
    x = 41,526.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.